what if i want to want to convert a binary digit into an hexadecimal number and i dont know that number in decimal?

anshikasingh
Aug 10, 2015

#1**+8 **

Hi Anshikasingh,

I don't remember seeing you before, welcome to the forum :)

This is very easy

Take the base 2 number 10100111010110011111110000

Split it into groups of 4 from the right hand side,

10 1001 1101 0110 0111 1111 0000

in base 10 this would be a number between 0 and 15

In Hexidecimal it is a number between 0 and E

base 2 | 10 | 1001 | 1101 | 0110 | 0111 | 1111 | 0000 |

base 10 | 2 | 1+8=9 | 1+4+8=13 | 2+4=6 | 1+2+4=7 | 15 (biggest possible) | 0(smallest possible) |

base 16 | 2 | 9 | D | 6 | 7 | E | 0 |

$$10100111010110011111110000_2=$$ $$29D67E0_{16}$$

You would need to do more work to get the base 10 equivalent.

Melody
Aug 10, 2015

#1**+8 **

Best Answer

Hi Anshikasingh,

I don't remember seeing you before, welcome to the forum :)

This is very easy

Take the base 2 number 10100111010110011111110000

Split it into groups of 4 from the right hand side,

10 1001 1101 0110 0111 1111 0000

in base 10 this would be a number between 0 and 15

In Hexidecimal it is a number between 0 and E

base 2 | 10 | 1001 | 1101 | 0110 | 0111 | 1111 | 0000 |

base 10 | 2 | 1+8=9 | 1+4+8=13 | 2+4=6 | 1+2+4=7 | 15 (biggest possible) | 0(smallest possible) |

base 16 | 2 | 9 | D | 6 | 7 | E | 0 |

$$10100111010110011111110000_2=$$ $$29D67E0_{16}$$

You would need to do more work to get the base 10 equivalent.

Melody
Aug 10, 2015